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Motion of a neutrally buoyant circular particle in a lid-driven square cavity with a semicircular obstacle

Junjie Hu, Huagang He, Lei Wang, Huili Wang, Zhenhua Chai and Hui Pan
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Junjie Hu: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Huagang He: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Lei Wang: School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, P. R. China
Huili Wang: School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, P. R. China
Zhenhua Chai: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China5Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Hui Pan: China Ship Development and Design Center, Wuhan 430064, P. R. China

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 01, 1-19

Abstract: Understanding, predicting and controlling the motion of the solid particles in the square cavity with obstacles are important. This work performs a lattice Boltzmann study on the motion of a neutrally buoyant circular particle in a lid-driven square cavity with a semicircular obstacle, where the effects of Reynolds numbers and initial positions of the circular particle on the motion of the circular particle are investigated. The motion of the circular particle is affected significantly by the semicircular obstacle, which is quite different from the case without obstacles. With the increase of the Reynolds number, the motion of the circular particle is divided into three stages. At low Reynolds numbers (500≤Re≤800), similar to the case without obstacles, no matter where the initial position of the circular particle is, the limit cycle of the circular particle is the same. Beyond a critical Reynolds number (between 800 and 900), the limit cycle of the circular particle is dependent on the initial position of the circular particle obviously, which is attributed to the opposing centrifugal and wall-repulsion forces.

Keywords: Neutrally buoyant circular particle; lid-driven square cavity; semicircular obstacle; limit cycle; lattice Boltzmann method (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124500049

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International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

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